Galerkin approximations for the one-dimensional vlasov-poisson equation

DOI10.1002/mma.1670050131zbMath0541.65084OpenAlexW2085292785MaRDI QIDQ3327677

Jeffery Cooper

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050131

zbMATH Keywords

convergenceGalerkin methodexistenceFourier expansionuniquenessVlasov-Poisson equationVlasov-Maxwell system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) First-order nonlinear hyperbolic equations (35L60) Applications to the sciences (65Z05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (3)

Time-asymptotic traveling-wave solutions to the nonlinear Vlasov–Poisson–Ampère equations ⋮ Nonlinear stability of a spatially symmetric solution of the relativistic Poisson-Vlasov equation ⋮ Convergence of Galerkin approximation for two-dimensional Vlasov-Poisson equation

Cites Work

• Addendum: Boundary value problems for the Vlasov-Maxwell equation in one dimension
• Boundary value problems for the Vlasov-Maxwell equation in one dimension
• A numerical method based on the Fourier-Fourier transform approach for modeling 1-D electron plasma evolution
• An approximation method for electrostatic Vlasov turbulence

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